Find the Vertical Asymptote of the Rational Function

Which asymptotes are determined by looking at the denominator of a function? 

• vertical

• horizontal

• slant

• none

Tags

CCSS.HSF-IF.C.7D

Select all the following statements that are true.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)

Tags

CCSS.HSF-IF.C.7D

How many vertical asymptotes does f(x) have?

• None

• 1

• 2

• 3

Tags

CCSS.HSF-IF.C.7D

Write an equation for a rational function with an x-intercept of (–1, 0), a hole at x = 3, and a VA at   x = 4. 

• y= (x-1)(x+3) / (x+4)(x+3)

• y= (x-4)(x-3) / (x+1)(x-3)

• y= (x+1)(x-3) / (x-4)(x-3)

• y= (x+4)(x+3) / (x+1)(x+3)

Tags

CCSS.HSF-IF.C.7D

• x = -3

• x = -2

• x = -1/2

• x = 2

Tags

CCSS.HSF-IF.C.7D

State the vertical asymptote:  f(x)=(x-2)/(x+5).

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Tags

CCSS.HSF-IF.C.7D

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

• x = 6 and x = 2

• x = -6 and x = -2

• x = -6 and x = 2

• x = 6 and x = -2

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7D

State the vertical asymptotes: f(x) = 2 / (2x²+3x - 5)

• x = 1 , x = -5

• x = 1, x = -5/2

• x = -1/2, x = 5

• x = 0 , x = -5/2

Tags

CCSS.HSF-IF.C.7D